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Irrotational motion associated with free turbulent flows

Published online by Cambridge University Press:  28 March 2006

R. W. Stewart
R. W. Stewart
Affiliation:
Department of Physics and Institute of Oceanography, University of British Columbia
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Abstract

The irrotational motions induced by, but outside of, the selfpreserving turbulent wake and jet are examined. It is found that there is a mean flow towards the centre of the jet, although there is no such flow in the case of the wake. Phillips's (1955) results on the nature of fluctuating irrotational flows are found to be largely unaffected by the introduction of simple inhomogeneities into the boundary conditions, but another mode of fluctuation with movement along the lines of mean flow is also shown to be likely. It is pointed out that, contrary to a statement of Corrsin & Kistler (1954), it is possible for the vorticity-free fluid between bulges of turbulent fluid to partake of the mean velocity of the turbulent fluid.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 1 , Issue 6 , December 1956 , pp. 593 - 606
Copyright
© 1956 Cambridge University Press

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References

Corrsin, S. & Kistler, A. 1954 Nat. Adv. Comm. Aero., Wash., Tech. Note no. 3133.
Lamb, H. 1932 Hydrodynamics, 6th Ed. Cambridge University Press.
Phillips, O. M. 1955 Proc. Camb. Phil. Soc. 51, 220.
Townsend, A. A. 1949 Aust. J. Sci. Res. 2, 45.
Townsend, A. A. 1956 The Structure of Turbulent Shear Flow. Cambridge University Press.